Location: Andre's Hodgkin Huxley model @ 930166f28bc3 / components / gating-variable.xml

Author:
David Nickerson <nickerso@users.sourceforge.net>
Date:
2012-09-26 16:19:50+12:00
Desc:
fixing up references to the tutorial to match what the exposure on the live site wants to used.
Permanent Source URI:
https://models.cellml.org/w/andre/HH/rawfile/930166f28bc386e6ad7611a3a8ee5ffd5a3490df/components/gating-variable.xml

<?xml version="1.0" encoding="iso-8859-1"?>
<model xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xmlns:xlink="http://www.w3.org/1999/xlink" name="hh_gating_variable" cmeta:id="hh_gating_variable_model">
  
  <import xlink:href="units.xml">
    <units name="ms" units_ref="ms"/>
    <units name="per_ms" units_ref="per_ms"/>
  </import>
  <component name="hh_gating_variable_dynamic" cmeta:id="hh_gating_variable_dynamic">
    
    <variable cmeta:id="time" name="time" public_interface="in" private_interface="out" units="ms"/>
    <variable cmeta:id="gate_dynamic" name="gate" initial_value="gate_initial" public_interface="out" private_interface="out" units="dimensionless"/>
    <variable cmeta:id="gate_initial_dynamic" name="gate_initial" public_interface="in" private_interface="out" units="dimensionless"/>
    <variable cmeta:id="alpha_dynamic" name="alpha" public_interface="in" private_interface="out" units="per_ms"/>
    <variable cmeta:id="beta_dynamic" name="beta" public_interface="in" private_interface="out" units="per_ms"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="dynamic_gate_calculation"><eq/>
        <apply><diff/>
          <bvar><ci>time</ci></bvar>
          <ci>gate</ci>
        </apply>
        <apply><minus/>
          <apply><times/>
            <ci>alpha</ci>
            <apply><minus/>
              <cn cellml:units="dimensionless">1.0</cn>
              <ci>gate</ci>
            </apply>
          </apply>
          <apply><times/>
            <ci>beta</ci>
            <ci>gate</ci>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  <component name="hh_gating_variable_steady_state" cmeta:id="hh_gating_variable_steady_state">
    
    <variable cmeta:id="gate_steady_state" name="gate" public_interface="out" private_interface="out" units="dimensionless"/>
    <variable cmeta:id="time_steady_state" name="time" public_interface="in" private_interface="out" units="ms"/>
    <variable cmeta:id="gate_initial_steady_state" name="gate_initial" public_interface="in" private_interface="out" units="dimensionless"/>
    <variable cmeta:id="alpha_steady_state" name="alpha" public_interface="in" private_interface="out" units="per_ms"/>
    <variable cmeta:id="beta_steady_state" name="beta" public_interface="in" private_interface="out" units="per_ms"/>
    <variable cmeta:id="gate_inf" name="gate_inf" public_interface="out" private_interface="out" units="dimensionless"/>
    <variable cmeta:id="tau" name="tau" public_interface="out" private_interface="out" units="ms"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="steady_state_gate_calculation"><eq/>
        <ci>gate</ci>
        <apply><minus/>
          <ci>gate_inf</ci>
          <apply><times/>
            <apply><minus/>
              <ci>gate_inf</ci>
              <ci>gate_initial</ci>
            </apply>
            <apply><minus/>
              <apply><divide/>
                <ci>time</ci>
                <ci>tau</ci>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>
    </math>
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="gate_inf_calculation"><eq/>
        <ci>gate_inf</ci>
        <apply><divide/>
          <ci>alpha</ci>
          <apply><plus/>
            <ci>alpha</ci>
            <ci>beta</ci>
          </apply>
        </apply>
      </apply>
    </math>
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="tau_calculation"><eq/>
        <ci>tau</ci>
        <apply><divide/>
          <cn cellml:units="ms">1.0</cn>
          <apply><plus/>
            <ci>alpha</ci>
            <ci>beta</ci>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
</model>